Finding the Third Proportional to 56,465 and 83,140

Step by Step Solution

1. Step 1: Write the proportion equation
   56,465 : 83,140 = 83,140 : x
2. Step 2: Convert to fraction form
   56,465/83,140 = 83,140/x
3. Step 3: Cross multiply
   56,465x = 83,140 × 83,140
4. Step 4: Simplify right side
   56,465x = 6,912,259,600
5. Step 5: Solve for x
   x = 6,912,259,600/56,465
6. Step 6: Final answer
   x = 122,416.71