Finding the Third Proportional to 148,513.50 and 314,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,513.50 : 314,644.50 = 314,644.50 : x
2. Step 2: Convert to fraction form
   148,513.50/314,644.50 = 314,644.50/x
3. Step 3: Cross multiply
   148,513.50x = 314,644.50 × 314,644.50
4. Step 4: Simplify right side
   148,513.50x = 99,001,161,380.25
5. Step 5: Solve for x
   x = 99,001,161,380.25/148,513.50
6. Step 6: Final answer
   x = 666,613.89