Finding the Third Proportional to 48,360 and 102,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,360 : 102,592.50 = 102,592.50 : x
2. Step 2: Convert to fraction form
   48,360/102,592.50 = 102,592.50/x
3. Step 3: Cross multiply
   48,360x = 102,592.50 × 102,592.50
4. Step 4: Simplify right side
   48,360x = 10,525,221,056.25
5. Step 5: Solve for x
   x = 10,525,221,056.25/48,360
6. Step 6: Final answer
   x = 217,643.12