Finding the Third Proportional to 64,196 and 141,200

Step by Step Solution

1. Step 1: Write the proportion equation
   64,196 : 141,200 = 141,200 : x
2. Step 2: Convert to fraction form
   64,196/141,200 = 141,200/x
3. Step 3: Cross multiply
   64,196x = 141,200 × 141,200
4. Step 4: Simplify right side
   64,196x = 19,937,440,000
5. Step 5: Solve for x
   x = 19,937,440,000/64,196
6. Step 6: Final answer
   x = 310,571.38