Finding the Third Proportional to 133,857 and 178,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,857 : 178,453.50 = 178,453.50 : x
2. Step 2: Convert to fraction form
   133,857/178,453.50 = 178,453.50/x
3. Step 3: Cross multiply
   133,857x = 178,453.50 × 178,453.50
4. Step 4: Simplify right side
   133,857x = 31,845,651,662.25
5. Step 5: Solve for x
   x = 31,845,651,662.25/133,857
6. Step 6: Final answer
   x = 237,908.00