Finding the Third Proportional to 91,742 and 151,834.75

Step by Step Solution

1. Step 1: Write the proportion equation
   91,742 : 151,834.75 = 151,834.75 : x
2. Step 2: Convert to fraction form
   91,742/151,834.75 = 151,834.75/x
3. Step 3: Cross multiply
   91,742x = 151,834.75 × 151,834.75
4. Step 4: Simplify right side
   91,742x = 23,053,791,307.56
5. Step 5: Solve for x
   x = 23,053,791,307.56/91,742
6. Step 6: Final answer
   x = 251,289.39