Finding the Third Proportional to 77,382 and 164,076

Step by Step Solution

1. Step 1: Write the proportion equation
   77,382 : 164,076 = 164,076 : x
2. Step 2: Convert to fraction form
   77,382/164,076 = 164,076/x
3. Step 3: Cross multiply
   77,382x = 164,076 × 164,076
4. Step 4: Simplify right side
   77,382x = 26,920,933,776
5. Step 5: Solve for x
   x = 26,920,933,776/77,382
6. Step 6: Final answer
   x = 347,896.59