Finding the Third Proportional to 75,327 and 116,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,327 : 116,704.50 = 116,704.50 : x
2. Step 2: Convert to fraction form
   75,327/116,704.50 = 116,704.50/x
3. Step 3: Cross multiply
   75,327x = 116,704.50 × 116,704.50
4. Step 4: Simplify right side
   75,327x = 13,619,940,320.25
5. Step 5: Solve for x
   x = 13,619,940,320.25/75,327
6. Step 6: Final answer
   x = 180,810.87