Finding the Third Proportional to 100,820 and 152,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,820 : 152,039.50 = 152,039.50 : x
2. Step 2: Convert to fraction form
   100,820/152,039.50 = 152,039.50/x
3. Step 3: Cross multiply
   100,820x = 152,039.50 × 152,039.50
4. Step 4: Simplify right side
   100,820x = 23,116,009,560.25
5. Step 5: Solve for x
   x = 23,116,009,560.25/100,820
6. Step 6: Final answer
   x = 229,280.00