Finding the Third Proportional to 75,156 and 116,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,156 : 116,533.50 = 116,533.50 : x
2. Step 2: Convert to fraction form
   75,156/116,533.50 = 116,533.50/x
3. Step 3: Cross multiply
   75,156x = 116,533.50 × 116,533.50
4. Step 4: Simplify right side
   75,156x = 13,580,056,622.25
5. Step 5: Solve for x
   x = 13,580,056,622.25/75,156
6. Step 6: Final answer
   x = 180,691.58