Finding the Third Proportional to 146,856 and 312,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,856 : 312,913.50 = 312,913.50 : x
2. Step 2: Convert to fraction form
   146,856/312,913.50 = 312,913.50/x
3. Step 3: Cross multiply
   146,856x = 312,913.50 × 312,913.50
4. Step 4: Simplify right side
   146,856x = 97,914,858,482.25
5. Step 5: Solve for x
   x = 97,914,858,482.25/146,856
6. Step 6: Final answer
   x = 666,740.61