Finding the Third Proportional to 85,374 and 102,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,374 : 102,829.50 = 102,829.50 : x
2. Step 2: Convert to fraction form
   85,374/102,829.50 = 102,829.50/x
3. Step 3: Cross multiply
   85,374x = 102,829.50 × 102,829.50
4. Step 4: Simplify right side
   85,374x = 10,573,906,070.25
5. Step 5: Solve for x
   x = 10,573,906,070.25/85,374
6. Step 6: Final answer
   x = 123,853.94