Finding the Third Proportional to 133,677 and 188,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,677 : 188,080.50 = 188,080.50 : x
2. Step 2: Convert to fraction form
   133,677/188,080.50 = 188,080.50/x
3. Step 3: Cross multiply
   133,677x = 188,080.50 × 188,080.50
4. Step 4: Simplify right side
   133,677x = 35,374,274,480.25
5. Step 5: Solve for x
   x = 35,374,274,480.25/133,677
6. Step 6: Final answer
   x = 264,624.99