Finding the Third Proportional to 82,156.50 and 121,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,156.50 : 121,288.50 = 121,288.50 : x
2. Step 2: Convert to fraction form
   82,156.50/121,288.50 = 121,288.50/x
3. Step 3: Cross multiply
   82,156.50x = 121,288.50 × 121,288.50
4. Step 4: Simplify right side
   82,156.50x = 14,710,900,232.25
5. Step 5: Solve for x
   x = 14,710,900,232.25/82,156.50
6. Step 6: Final answer
   x = 179,059.48