Finding the Third Proportional to 109,672 and 238,136

Step by Step Solution

1. Step 1: Write the proportion equation
   109,672 : 238,136 = 238,136 : x
2. Step 2: Convert to fraction form
   109,672/238,136 = 238,136/x
3. Step 3: Cross multiply
   109,672x = 238,136 × 238,136
4. Step 4: Simplify right side
   109,672x = 56,708,754,496
5. Step 5: Solve for x
   x = 56,708,754,496/109,672
6. Step 6: Final answer
   x = 517,075.96