Finding the Third Proportional to 103,639 and 152,056

Step by Step Solution

1. Step 1: Write the proportion equation
   103,639 : 152,056 = 152,056 : x
2. Step 2: Convert to fraction form
   103,639/152,056 = 152,056/x
3. Step 3: Cross multiply
   103,639x = 152,056 × 152,056
4. Step 4: Simplify right side
   103,639x = 23,121,027,136
5. Step 5: Solve for x
   x = 23,121,027,136/103,639
6. Step 6: Final answer
   x = 223,091.96