Finding the Third Proportional to 133,837 and 183,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,837 : 183,525.50 = 183,525.50 : x
2. Step 2: Convert to fraction form
   133,837/183,525.50 = 183,525.50/x
3. Step 3: Cross multiply
   133,837x = 183,525.50 × 183,525.50
4. Step 4: Simplify right side
   133,837x = 33,681,609,150.25
5. Step 5: Solve for x
   x = 33,681,609,150.25/133,837
6. Step 6: Final answer
   x = 251,661.42