Finding the Third Proportional to 100,813 and 152,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,813 : 152,029.50 = 152,029.50 : x
2. Step 2: Convert to fraction form
   100,813/152,029.50 = 152,029.50/x
3. Step 3: Cross multiply
   100,813x = 152,029.50 × 152,029.50
4. Step 4: Simplify right side
   100,813x = 23,112,968,870.25
5. Step 5: Solve for x
   x = 23,112,968,870.25/100,813
6. Step 6: Final answer
   x = 229,265.76