Finding the Third Proportional to 146,656.50 and 262,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,656.50 : 262,816.50 = 262,816.50 : x
2. Step 2: Convert to fraction form
   146,656.50/262,816.50 = 262,816.50/x
3. Step 3: Cross multiply
   146,656.50x = 262,816.50 × 262,816.50
4. Step 4: Simplify right side
   146,656.50x = 69,072,512,672.25
5. Step 5: Solve for x
   x = 69,072,512,672.25/146,656.50
6. Step 6: Final answer
   x = 470,981.60