Finding the Third Proportional to 113,076 and 169,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,076 : 169,627.50 = 169,627.50 : x
2. Step 2: Convert to fraction form
   113,076/169,627.50 = 169,627.50/x
3. Step 3: Cross multiply
   113,076x = 169,627.50 × 169,627.50
4. Step 4: Simplify right side
   113,076x = 28,773,488,756.25
5. Step 5: Solve for x
   x = 28,773,488,756.25/113,076
6. Step 6: Final answer
   x = 254,461.50