Finding the Third Proportional to 146,451 and 214,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,451 : 214,492.50 = 214,492.50 : x
2. Step 2: Convert to fraction form
   146,451/214,492.50 = 214,492.50/x
3. Step 3: Cross multiply
   146,451x = 214,492.50 × 214,492.50
4. Step 4: Simplify right side
   146,451x = 46,007,032,556.25
5. Step 5: Solve for x
   x = 46,007,032,556.25/146,451
6. Step 6: Final answer
   x = 314,146.25