Finding the Third Proportional to 107,002 and 253,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,002 : 253,047.50 = 253,047.50 : x
2. Step 2: Convert to fraction form
   107,002/253,047.50 = 253,047.50/x
3. Step 3: Cross multiply
   107,002x = 253,047.50 × 253,047.50
4. Step 4: Simplify right side
   107,002x = 64,033,037,256.25
5. Step 5: Solve for x
   x = 64,033,037,256.25/107,002
6. Step 6: Final answer
   x = 598,428.41