Finding the Third Proportional to 194,319 and 421,832.81

Step by Step Solution

1. Step 1: Write the proportion equation
   194,319 : 421,832.81 = 421,832.81 : x
2. Step 2: Convert to fraction form
   194,319/421,832.81 = 421,832.81/x
3. Step 3: Cross multiply
   194,319x = 421,832.81 × 421,832.81
4. Step 4: Simplify right side
   194,319x = 177,942,921,701.66
5. Step 5: Solve for x
   x = 177,942,921,701.66/194,319
6. Step 6: Final answer
   x = 915,725.80