Finding the Third Proportional to 103,681 and 152,120

Step by Step Solution

1. Step 1: Write the proportion equation
   103,681 : 152,120 = 152,120 : x
2. Step 2: Convert to fraction form
   103,681/152,120 = 152,120/x
3. Step 3: Cross multiply
   103,681x = 152,120 × 152,120
4. Step 4: Simplify right side
   103,681x = 23,140,494,400
5. Step 5: Solve for x
   x = 23,140,494,400/103,681
6. Step 6: Final answer
   x = 223,189.34