Finding the Third Proportional to 177,465 and 265,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,465 : 265,495.50 = 265,495.50 : x
2. Step 2: Convert to fraction form
   177,465/265,495.50 = 265,495.50/x
3. Step 3: Cross multiply
   177,465x = 265,495.50 × 265,495.50
4. Step 4: Simplify right side
   177,465x = 70,487,860,520.25
5. Step 5: Solve for x
   x = 70,487,860,520.25/177,465
6. Step 6: Final answer
   x = 397,193.03