Finding the Third Proportional to 75,834 and 116,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,834 : 116,914.50 = 116,914.50 : x
2. Step 2: Convert to fraction form
   75,834/116,914.50 = 116,914.50/x
3. Step 3: Cross multiply
   75,834x = 116,914.50 × 116,914.50
4. Step 4: Simplify right side
   75,834x = 13,669,000,310.25
5. Step 5: Solve for x
   x = 13,669,000,310.25/75,834
6. Step 6: Final answer
   x = 180,248.97