Finding the Third Proportional to 133,829 and 183,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,829 : 183,513.50 = 183,513.50 : x
2. Step 2: Convert to fraction form
   133,829/183,513.50 = 183,513.50/x
3. Step 3: Cross multiply
   133,829x = 183,513.50 × 183,513.50
4. Step 4: Simplify right side
   133,829x = 33,677,204,682.25
5. Step 5: Solve for x
   x = 33,677,204,682.25/133,829
6. Step 6: Final answer
   x = 251,643.55