Finding the Third Proportional to 51,598 and 78,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,598 : 78,875.50 = 78,875.50 : x
2. Step 2: Convert to fraction form
   51,598/78,875.50 = 78,875.50/x
3. Step 3: Cross multiply
   51,598x = 78,875.50 × 78,875.50
4. Step 4: Simplify right side
   51,598x = 6,221,344,500.25
5. Step 5: Solve for x
   x = 6,221,344,500.25/51,598
6. Step 6: Final answer
   x = 120,573.37