Finding the Third Proportional to 52,156 and 78,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,156 : 78,483.50 = 78,483.50 : x
2. Step 2: Convert to fraction form
   52,156/78,483.50 = 78,483.50/x
3. Step 3: Cross multiply
   52,156x = 78,483.50 × 78,483.50
4. Step 4: Simplify right side
   52,156x = 6,159,659,772.25
5. Step 5: Solve for x
   x = 6,159,659,772.25/52,156
6. Step 6: Final answer
   x = 118,100.69