Finding the Third Proportional to 77,287.50 and 164,700

Step by Step Solution

1. Step 1: Write the proportion equation
   77,287.50 : 164,700 = 164,700 : x
2. Step 2: Convert to fraction form
   77,287.50/164,700 = 164,700/x
3. Step 3: Cross multiply
   77,287.50x = 164,700 × 164,700
4. Step 4: Simplify right side
   77,287.50x = 27,126,090,000
5. Step 5: Solve for x
   x = 27,126,090,000/77,287.50
6. Step 6: Final answer
   x = 350,976.42