Finding the Third Proportional to 146,833 and 312,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,833 : 312,870.50 = 312,870.50 : x
2. Step 2: Convert to fraction form
   146,833/312,870.50 = 312,870.50/x
3. Step 3: Cross multiply
   146,833x = 312,870.50 × 312,870.50
4. Step 4: Simplify right side
   146,833x = 97,887,949,770.25
5. Step 5: Solve for x
   x = 97,887,949,770.25/146,833
6. Step 6: Final answer
   x = 666,661.78