Finding the Third Proportional to 52,261.50 and 78,510

Step by Step Solution

1. Step 1: Write the proportion equation
   52,261.50 : 78,510 = 78,510 : x
2. Step 2: Convert to fraction form
   52,261.50/78,510 = 78,510/x
3. Step 3: Cross multiply
   52,261.50x = 78,510 × 78,510
4. Step 4: Simplify right side
   52,261.50x = 6,163,820,100
5. Step 5: Solve for x
   x = 6,163,820,100/52,261.50
6. Step 6: Final answer
   x = 117,941.89