Finding the Third Proportional to 194,404 and 291,606

Step by Step Solution

1. Step 1: Write the proportion equation
   194,404 : 291,606 = 291,606 : x
2. Step 2: Convert to fraction form
   194,404/291,606 = 291,606/x
3. Step 3: Cross multiply
   194,404x = 291,606 × 291,606
4. Step 4: Simplify right side
   194,404x = 85,034,059,236
5. Step 5: Solve for x
   x = 85,034,059,236/194,404
6. Step 6: Final answer
   x = 437,409