Finding the Third Proportional to 133,887 and 193,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,887 : 193,459.50 = 193,459.50 : x
2. Step 2: Convert to fraction form
   133,887/193,459.50 = 193,459.50/x
3. Step 3: Cross multiply
   133,887x = 193,459.50 × 193,459.50
4. Step 4: Simplify right side
   133,887x = 37,426,578,140.25
5. Step 5: Solve for x
   x = 37,426,578,140.25/133,887
6. Step 6: Final answer
   x = 279,538.55