Finding the Third Proportional to 146,106 and 218,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,106 : 218,569.50 = 218,569.50 : x
2. Step 2: Convert to fraction form
   146,106/218,569.50 = 218,569.50/x
3. Step 3: Cross multiply
   146,106x = 218,569.50 × 218,569.50
4. Step 4: Simplify right side
   146,106x = 47,772,626,330.25
5. Step 5: Solve for x
   x = 47,772,626,330.25/146,106
6. Step 6: Final answer
   x = 326,972.38