Finding the Third Proportional to 48,627 and 114,487.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,627 : 114,487.50 = 114,487.50 : x
2. Step 2: Convert to fraction form
   48,627/114,487.50 = 114,487.50/x
3. Step 3: Cross multiply
   48,627x = 114,487.50 × 114,487.50
4. Step 4: Simplify right side
   48,627x = 13,107,387,656.25
5. Step 5: Solve for x
   x = 13,107,387,656.25/48,627
6. Step 6: Final answer
   x = 269,549.58