Finding the Third Proportional to 100,816 and 148,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,816 : 148,924.50 = 148,924.50 : x
2. Step 2: Convert to fraction form
   100,816/148,924.50 = 148,924.50/x
3. Step 3: Cross multiply
   100,816x = 148,924.50 × 148,924.50
4. Step 4: Simplify right side
   100,816x = 22,178,506,700.25
5. Step 5: Solve for x
   x = 22,178,506,700.25/100,816
6. Step 6: Final answer
   x = 219,989.95