Finding the Third Proportional to 30,199 and 64,300

Step by Step Solution

1. Step 1: Write the proportion equation
   30,199 : 64,300 = 64,300 : x
2. Step 2: Convert to fraction form
   30,199/64,300 = 64,300/x
3. Step 3: Cross multiply
   30,199x = 64,300 × 64,300
4. Step 4: Simplify right side
   30,199x = 4,134,490,000
5. Step 5: Solve for x
   x = 4,134,490,000/30,199
6. Step 6: Final answer
   x = 136,908.18