Finding the Third Proportional to 133,603.50 and 186,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,603.50 : 186,796.50 = 186,796.50 : x
2. Step 2: Convert to fraction form
   133,603.50/186,796.50 = 186,796.50/x
3. Step 3: Cross multiply
   133,603.50x = 186,796.50 × 186,796.50
4. Step 4: Simplify right side
   133,603.50x = 34,892,932,412.25
5. Step 5: Solve for x
   x = 34,892,932,412.25/133,603.50
6. Step 6: Final answer
   x = 261,167.80