Finding the Third Proportional to 106,389 and 157,480.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,389 : 157,480.50 = 157,480.50 : x
2. Step 2: Convert to fraction form
   106,389/157,480.50 = 157,480.50/x
3. Step 3: Cross multiply
   106,389x = 157,480.50 × 157,480.50
4. Step 4: Simplify right side
   106,389x = 24,800,107,880.25
5. Step 5: Solve for x
   x = 24,800,107,880.25/106,389
6. Step 6: Final answer
   x = 233,107.82