Finding the Third Proportional to 57,412 and 83,850

Step by Step Solution

1. Step 1: Write the proportion equation
   57,412 : 83,850 = 83,850 : x
2. Step 2: Convert to fraction form
   57,412/83,850 = 83,850/x
3. Step 3: Cross multiply
   57,412x = 83,850 × 83,850
4. Step 4: Simplify right side
   57,412x = 7,030,822,500
5. Step 5: Solve for x
   x = 7,030,822,500/57,412
6. Step 6: Final answer
   x = 122,462.59