Finding the Third Proportional to 120,783,441,470 and 262,772,850,106

Step by Step Solution

1. Step 1: Write the proportion equation
   120,783,441,470 : 262,772,850,106 = 262,772,850,106 : x
2. Step 2: Convert to fraction form
   120,783,441,470/262,772,850,106 = 262,772,850,106/x
3. Step 3: Cross multiply
   120,783,441,470x = 262,772,850,106 × 262,772,850,106
4. Step 4: Simplify right side
   120,783,441,470x = 69,049,570,752,830,344,527,872
5. Step 5: Solve for x
   x = 69,049,570,752,830,344,527,872/120,783,441,470
6. Step 6: Final answer
   x = 571,680,769,420.54