Finding the Third Proportional to 103,830.50 and 152,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,830.50 : 152,827.50 = 152,827.50 : x
2. Step 2: Convert to fraction form
   103,830.50/152,827.50 = 152,827.50/x
3. Step 3: Cross multiply
   103,830.50x = 152,827.50 × 152,827.50
4. Step 4: Simplify right side
   103,830.50x = 23,356,244,756.25
5. Step 5: Solve for x
   x = 23,356,244,756.25/103,830.50
6. Step 6: Final answer
   x = 224,945.90