Finding the Third Proportional to 56,457 and 82,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,457 : 82,957.50 = 82,957.50 : x
2. Step 2: Convert to fraction form
   56,457/82,957.50 = 82,957.50/x
3. Step 3: Cross multiply
   56,457x = 82,957.50 × 82,957.50
4. Step 4: Simplify right side
   56,457x = 6,881,946,806.25
5. Step 5: Solve for x
   x = 6,881,946,806.25/56,457
6. Step 6: Final answer
   x = 121,897.14