Finding the Third Proportional to 107,166 and 157,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,166 : 157,630.50 = 157,630.50 : x
2. Step 2: Convert to fraction form
   107,166/157,630.50 = 157,630.50/x
3. Step 3: Cross multiply
   107,166x = 157,630.50 × 157,630.50
4. Step 4: Simplify right side
   107,166x = 24,847,374,530.25
5. Step 5: Solve for x
   x = 24,847,374,530.25/107,166
6. Step 6: Final answer
   x = 231,858.75