Finding the Third Proportional to 37,187 and 77,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,187 : 77,458.50 = 77,458.50 : x
2. Step 2: Convert to fraction form
   37,187/77,458.50 = 77,458.50/x
3. Step 3: Cross multiply
   37,187x = 77,458.50 × 77,458.50
4. Step 4: Simplify right side
   37,187x = 5,999,819,222.25
5. Step 5: Solve for x
   x = 5,999,819,222.25/37,187
6. Step 6: Final answer
   x = 161,341.85