Finding the Third Proportional to 142,088 and 212,157

Step by Step Solution

1. Step 1: Write the proportion equation
   142,088 : 212,157 = 212,157 : x
2. Step 2: Convert to fraction form
   142,088/212,157 = 212,157/x
3. Step 3: Cross multiply
   142,088x = 212,157 × 212,157
4. Step 4: Simplify right side
   142,088x = 45,010,592,649
5. Step 5: Solve for x
   x = 45,010,592,649/142,088
6. Step 6: Final answer
   x = 316,779.69