Finding the Third Proportional to 191,772 and 415,188

Step by Step Solution

1. Step 1: Write the proportion equation
   191,772 : 415,188 = 415,188 : x
2. Step 2: Convert to fraction form
   191,772/415,188 = 415,188/x
3. Step 3: Cross multiply
   191,772x = 415,188 × 415,188
4. Step 4: Simplify right side
   191,772x = 172,381,075,344
5. Step 5: Solve for x
   x = 172,381,075,344/191,772
6. Step 6: Final answer
   x = 898,885.53