Finding the Third Proportional to 89,141 and 195,776

Step by Step Solution

1. Step 1: Write the proportion equation
   89,141 : 195,776 = 195,776 : x
2. Step 2: Convert to fraction form
   89,141/195,776 = 195,776/x
3. Step 3: Cross multiply
   89,141x = 195,776 × 195,776
4. Step 4: Simplify right side
   89,141x = 38,328,242,176
5. Step 5: Solve for x
   x = 38,328,242,176/89,141
6. Step 6: Final answer
   x = 429,973.21