Finding the Third Proportional to 37,184 and 78,272

Step by Step Solution

1. Step 1: Write the proportion equation
   37,184 : 78,272 = 78,272 : x
2. Step 2: Convert to fraction form
   37,184/78,272 = 78,272/x
3. Step 3: Cross multiply
   37,184x = 78,272 × 78,272
4. Step 4: Simplify right side
   37,184x = 6,126,505,984
5. Step 5: Solve for x
   x = 6,126,505,984/37,184
6. Step 6: Final answer
   x = 164,761.89