Finding the Third Proportional to 42,213 and 89,194

Step by Step Solution

1. Step 1: Write the proportion equation
   42,213 : 89,194 = 89,194 : x
2. Step 2: Convert to fraction form
   42,213/89,194 = 89,194/x
3. Step 3: Cross multiply
   42,213x = 89,194 × 89,194
4. Step 4: Simplify right side
   42,213x = 7,955,569,636
5. Step 5: Solve for x
   x = 7,955,569,636/42,213
6. Step 6: Final answer
   x = 188,462.55