Finding the Third Proportional to 100,822 and 152,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,822 : 152,042.50 = 152,042.50 : x
2. Step 2: Convert to fraction form
   100,822/152,042.50 = 152,042.50/x
3. Step 3: Cross multiply
   100,822x = 152,042.50 × 152,042.50
4. Step 4: Simplify right side
   100,822x = 23,116,921,806.25
5. Step 5: Solve for x
   x = 23,116,921,806.25/100,822
6. Step 6: Final answer
   x = 229,284.50