Finding the Third Proportional to 146,187 and 214,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,187 : 214,096.50 = 214,096.50 : x
2. Step 2: Convert to fraction form
   146,187/214,096.50 = 214,096.50/x
3. Step 3: Cross multiply
   146,187x = 214,096.50 × 214,096.50
4. Step 4: Simplify right side
   146,187x = 45,837,311,312.25
5. Step 5: Solve for x
   x = 45,837,311,312.25/146,187
6. Step 6: Final answer
   x = 313,552.58