Finding the Third Proportional to 56,493 and 83,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,493 : 83,011.50 = 83,011.50 : x
2. Step 2: Convert to fraction form
   56,493/83,011.50 = 83,011.50/x
3. Step 3: Cross multiply
   56,493x = 83,011.50 × 83,011.50
4. Step 4: Simplify right side
   56,493x = 6,890,909,132.25
5. Step 5: Solve for x
   x = 6,890,909,132.25/56,493
6. Step 6: Final answer
   x = 121,978.11