Finding the Third Proportional to 37,194 and 78,210

Step by Step Solution

1. Step 1: Write the proportion equation
   37,194 : 78,210 = 78,210 : x
2. Step 2: Convert to fraction form
   37,194/78,210 = 78,210/x
3. Step 3: Cross multiply
   37,194x = 78,210 × 78,210
4. Step 4: Simplify right side
   37,194x = 6,116,804,100
5. Step 5: Solve for x
   x = 6,116,804,100/37,194
6. Step 6: Final answer
   x = 164,456.74