Finding the Third Proportional to 293,136 and 437,978

Step by Step Solution

1. Step 1: Write the proportion equation
   293,136 : 437,978 = 437,978 : x
2. Step 2: Convert to fraction form
   293,136/437,978 = 437,978/x
3. Step 3: Cross multiply
   293,136x = 437,978 × 437,978
4. Step 4: Simplify right side
   293,136x = 191,824,728,484
5. Step 5: Solve for x
   x = 191,824,728,484/293,136
6. Step 6: Final answer
   x = 654,388.16