Finding the Third Proportional to 177,894 and 385,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,894 : 385,549.50 = 385,549.50 : x
2. Step 2: Convert to fraction form
   177,894/385,549.50 = 385,549.50/x
3. Step 3: Cross multiply
   177,894x = 385,549.50 × 385,549.50
4. Step 4: Simplify right side
   177,894x = 148,648,416,950.25
5. Step 5: Solve for x
   x = 148,648,416,950.25/177,894
6. Step 6: Final answer
   x = 835,601.07