Finding the Third Proportional to 107,196 and 157,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,196 : 157,582.50 = 157,582.50 : x
2. Step 2: Convert to fraction form
   107,196/157,582.50 = 157,582.50/x
3. Step 3: Cross multiply
   107,196x = 157,582.50 × 157,582.50
4. Step 4: Simplify right side
   107,196x = 24,832,244,306.25
5. Step 5: Solve for x
   x = 24,832,244,306.25/107,196
6. Step 6: Final answer
   x = 231,652.71