Finding the Third Proportional to 54,457 and 83,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,457 : 83,287.50 = 83,287.50 : x
2. Step 2: Convert to fraction form
   54,457/83,287.50 = 83,287.50/x
3. Step 3: Cross multiply
   54,457x = 83,287.50 × 83,287.50
4. Step 4: Simplify right side
   54,457x = 6,936,807,656.25
5. Step 5: Solve for x
   x = 6,936,807,656.25/54,457
6. Step 6: Final answer
   x = 127,381.38