Finding the Third Proportional to 91,742.50 and 151,835.75

Step by Step Solution

1. Step 1: Write the proportion equation
   91,742.50 : 151,835.75 = 151,835.75 : x
2. Step 2: Convert to fraction form
   91,742.50/151,835.75 = 151,835.75/x
3. Step 3: Cross multiply
   91,742.50x = 151,835.75 × 151,835.75
4. Step 4: Simplify right side
   91,742.50x = 23,054,094,978.06
5. Step 5: Solve for x
   x = 23,054,094,978.06/91,742.50
6. Step 6: Final answer
   x = 251,291.33