Finding the Third Proportional to 100,881.50 and 152,078

Step by Step Solution

1. Step 1: Write the proportion equation
   100,881.50 : 152,078 = 152,078 : x
2. Step 2: Convert to fraction form
   100,881.50/152,078 = 152,078/x
3. Step 3: Cross multiply
   100,881.50x = 152,078 × 152,078
4. Step 4: Simplify right side
   100,881.50x = 23,127,718,084
5. Step 5: Solve for x
   x = 23,127,718,084/100,881.50
6. Step 6: Final answer
   x = 229,256.29