Finding the Third Proportional to 103,693 and 152,136

Step by Step Solution

1. Step 1: Write the proportion equation
   103,693 : 152,136 = 152,136 : x
2. Step 2: Convert to fraction form
   103,693/152,136 = 152,136/x
3. Step 3: Cross multiply
   103,693x = 152,136 × 152,136
4. Step 4: Simplify right side
   103,693x = 23,145,362,496
5. Step 5: Solve for x
   x = 23,145,362,496/103,693
6. Step 6: Final answer
   x = 223,210.46