Finding the Third Proportional to 45,804 and 98,178

Step by Step Solution

1. Step 1: Write the proportion equation
   45,804 : 98,178 = 98,178 : x
2. Step 2: Convert to fraction form
   45,804/98,178 = 98,178/x
3. Step 3: Cross multiply
   45,804x = 98,178 × 98,178
4. Step 4: Simplify right side
   45,804x = 9,638,919,684
5. Step 5: Solve for x
   x = 9,638,919,684/45,804
6. Step 6: Final answer
   x = 210,438.38