Finding the Third Proportional to 117,882 and 180,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,882 : 180,265.50 = 180,265.50 : x
2. Step 2: Convert to fraction form
   117,882/180,265.50 = 180,265.50/x
3. Step 3: Cross multiply
   117,882x = 180,265.50 × 180,265.50
4. Step 4: Simplify right side
   117,882x = 32,495,650,490.25
5. Step 5: Solve for x
   x = 32,495,650,490.25/117,882
6. Step 6: Final answer
   x = 275,662.53