Finding the Third Proportional to 156,931 and 201,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   156,931 : 201,496.50 = 201,496.50 : x
2. Step 2: Convert to fraction form
   156,931/201,496.50 = 201,496.50/x
3. Step 3: Cross multiply
   156,931x = 201,496.50 × 201,496.50
4. Step 4: Simplify right side
   156,931x = 40,600,839,512.25
5. Step 5: Solve for x
   x = 40,600,839,512.25/156,931
6. Step 6: Final answer
   x = 258,717.78