Finding the Third Proportional to 78,012 and 152,136

Step by Step Solution

1. Step 1: Write the proportion equation
   78,012 : 152,136 = 152,136 : x
2. Step 2: Convert to fraction form
   78,012/152,136 = 152,136/x
3. Step 3: Cross multiply
   78,012x = 152,136 × 152,136
4. Step 4: Simplify right side
   78,012x = 23,145,362,496
5. Step 5: Solve for x
   x = 23,145,362,496/78,012
6. Step 6: Final answer
   x = 296,689.77