Finding the Third Proportional to 107,200 and 157,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,200 : 157,588.50 = 157,588.50 : x
2. Step 2: Convert to fraction form
   107,200/157,588.50 = 157,588.50/x
3. Step 3: Cross multiply
   107,200x = 157,588.50 × 157,588.50
4. Step 4: Simplify right side
   107,200x = 24,834,135,332.25
5. Step 5: Solve for x
   x = 24,834,135,332.25/107,200
6. Step 6: Final answer
   x = 231,661.71