Finding the Third Proportional to 146,123.50 and 314,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,123.50 : 314,097.50 = 314,097.50 : x
2. Step 2: Convert to fraction form
   146,123.50/314,097.50 = 314,097.50/x
3. Step 3: Cross multiply
   146,123.50x = 314,097.50 × 314,097.50
4. Step 4: Simplify right side
   146,123.50x = 98,657,239,506.25
5. Step 5: Solve for x
   x = 98,657,239,506.25/146,123.50
6. Step 6: Final answer
   x = 675,163.40