Finding the Third Proportional to 56,565 and 83,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,565 : 83,128.50 = 83,128.50 : x
2. Step 2: Convert to fraction form
   56,565/83,128.50 = 83,128.50/x
3. Step 3: Cross multiply
   56,565x = 83,128.50 × 83,128.50
4. Step 4: Simplify right side
   56,565x = 6,910,347,512.25
5. Step 5: Solve for x
   x = 6,910,347,512.25/56,565
6. Step 6: Final answer
   x = 122,166.49