Finding the Third Proportional to 177,316 and 384,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,316 : 384,773.50 = 384,773.50 : x
2. Step 2: Convert to fraction form
   177,316/384,773.50 = 384,773.50/x
3. Step 3: Cross multiply
   177,316x = 384,773.50 × 384,773.50
4. Step 4: Simplify right side
   177,316x = 148,050,646,302.25
5. Step 5: Solve for x
   x = 148,050,646,302.25/177,316
6. Step 6: Final answer
   x = 834,953.68