Finding the Third Proportional to 53,102 and 114,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,102 : 114,807.50 = 114,807.50 : x
2. Step 2: Convert to fraction form
   53,102/114,807.50 = 114,807.50/x
3. Step 3: Cross multiply
   53,102x = 114,807.50 × 114,807.50
4. Step 4: Simplify right side
   53,102x = 13,180,762,056.25
5. Step 5: Solve for x
   x = 13,180,762,056.25/53,102
6. Step 6: Final answer
   x = 248,215.93