Finding the Third Proportional to 37,366 and 78,194

Step by Step Solution

1. Step 1: Write the proportion equation
   37,366 : 78,194 = 78,194 : x
2. Step 2: Convert to fraction form
   37,366/78,194 = 78,194/x
3. Step 3: Cross multiply
   37,366x = 78,194 × 78,194
4. Step 4: Simplify right side
   37,366x = 6,114,301,636
5. Step 5: Solve for x
   x = 6,114,301,636/37,366
6. Step 6: Final answer
   x = 163,632.76