Finding the Third Proportional to 146,358 and 213,943.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,358 : 213,943.50 = 213,943.50 : x
2. Step 2: Convert to fraction form
   146,358/213,943.50 = 213,943.50/x
3. Step 3: Cross multiply
   146,358x = 213,943.50 × 213,943.50
4. Step 4: Simplify right side
   146,358x = 45,771,821,192.25
5. Step 5: Solve for x
   x = 45,771,821,192.25/146,358
6. Step 6: Final answer
   x = 312,738.77