Finding the Third Proportional to 148,506.75 and 243,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,506.75 : 243,796.50 = 243,796.50 : x
2. Step 2: Convert to fraction form
   148,506.75/243,796.50 = 243,796.50/x
3. Step 3: Cross multiply
   148,506.75x = 243,796.50 × 243,796.50
4. Step 4: Simplify right side
   148,506.75x = 59,436,733,412.25
5. Step 5: Solve for x
   x = 59,436,733,412.25/148,506.75
6. Step 6: Final answer
   x = 400,229.17