Finding the Third Proportional to 52,417 and 83,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,417 : 83,035.50 = 83,035.50 : x
2. Step 2: Convert to fraction form
   52,417/83,035.50 = 83,035.50/x
3. Step 3: Cross multiply
   52,417x = 83,035.50 × 83,035.50
4. Step 4: Simplify right side
   52,417x = 6,894,894,260.25
5. Step 5: Solve for x
   x = 6,894,894,260.25/52,417
6. Step 6: Final answer
   x = 131,539.28