Finding the Third Proportional to 120,783,441,474 and 262,772,850,113

Step by Step Solution

1. Step 1: Write the proportion equation
   120,783,441,474 : 262,772,850,113 = 262,772,850,113 : x
2. Step 2: Convert to fraction form
   120,783,441,474/262,772,850,113 = 262,772,850,113/x
3. Step 3: Cross multiply
   120,783,441,474x = 262,772,850,113 × 262,772,850,113
4. Step 4: Simplify right side
   120,783,441,474x = 69,049,570,756,509,160,177,664
5. Step 5: Solve for x
   x = 69,049,570,756,509,160,177,664/120,783,441,474
6. Step 6: Final answer
   x = 571,680,769,432.07