Finding the Third Proportional to 37,232 and 78,136

Step by Step Solution

1. Step 1: Write the proportion equation
   37,232 : 78,136 = 78,136 : x
2. Step 2: Convert to fraction form
   37,232/78,136 = 78,136/x
3. Step 3: Cross multiply
   37,232x = 78,136 × 78,136
4. Step 4: Simplify right side
   37,232x = 6,105,234,496
5. Step 5: Solve for x
   x = 6,105,234,496/37,232
6. Step 6: Final answer
   x = 163,978.15