Finding the Third Proportional to 196,861 and 291,140

Step by Step Solution

1. Step 1: Write the proportion equation
   196,861 : 291,140 = 291,140 : x
2. Step 2: Convert to fraction form
   196,861/291,140 = 291,140/x
3. Step 3: Cross multiply
   196,861x = 291,140 × 291,140
4. Step 4: Simplify right side
   196,861x = 84,762,499,600
5. Step 5: Solve for x
   x = 84,762,499,600/196,861
6. Step 6: Final answer
   x = 430,570.30