Finding the Third Proportional to 146,182.50 and 314,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,182.50 : 314,923.50 = 314,923.50 : x
2. Step 2: Convert to fraction form
   146,182.50/314,923.50 = 314,923.50/x
3. Step 3: Cross multiply
   146,182.50x = 314,923.50 × 314,923.50
4. Step 4: Simplify right side
   146,182.50x = 99,176,810,852.25
5. Step 5: Solve for x
   x = 99,176,810,852.25/146,182.50
6. Step 6: Final answer
   x = 678,445.17